Number Theory in Mathematics Education - Perspectives and Prospects (Hardcover)

This book offers multiple interconnected perspectives on the largely untapped potential of elementary number theory for mathematics education: its formal and cognitive nature, its relation to arithmetic and algebra, its accessibility, its utility and intrinsic merits, to name just a few. Its purpose is to promote explication and critical dialogue about these issues within the international mathematics education community. The studies comprise a variety of pedagogical and research orientations by an international group of researchers that, collectively, make a compelling case for the relevance and importance of number theory in mathematics education in both pre K-16 settings and mathematics teacher education. Topics variously engaged include: *understanding particular concepts related to numerical structure and number theory; *elaborating on the historical and psychological relevance of number theory in concept development; *attaining a smooth transition and extension from pattern recognition to formative principles; *appreciating the aesthetics of number structure; *exploring its suitability in terms of making connections leading to aha! insights and reaching toward the learner's affective domain; *reexamining previously constructed knowledge from a novel angle; *investigating connections between technique and theory; *utilizing computers and calculators as pedagogical tools; and *generally illuminating the role number theory concepts could play in developing mathematical knowledge and reasoning in students and teachers. Overall, the chapters of this book highlight number theory-related topics as a stepping-stone from arithmetic toward generalization and algebraic formalism, and as a means for providing intuitively grounded meanings of numbers, variables, functions, and proofs. Number Theory in Mathematics Education: Perspectives and Prospects is of interest to researchers, teacher educators, and students in the field of mathematics education, and is well suited as a text for upper-level mathematics education courses.

General

Imprint:	Routledge Member of the Taylor and Francis Group
Country of origin:	United States
Series:	Studies in Mathematical Thinking and Learning Series
Release date:	March 2006
First published:	2006
Editors:	Rina Zazkis • Stephen R. Campbell
Dimensions:	229 x 152 x 23mm (L x W x T)
Format:	Hardcover
Pages:	304
ISBN-13:	978-0-8058-5407-7
Categories:	Books > Social sciences > Education > Teaching of a specific subject Books > Children's & Educational > Mathematics > General Books > Children's Fiction & Fun Books > Academic & Education > Primary & Secondary Education
LSN:	0-8058-5407-X
Barcode:	9780805854077

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